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Finding the Fourth Proportional to 12,082,784,256,045, 18,124,176,384,070 and 12,082,784,256,045

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Solution

The fourth proportional to 12,082,784,256,045, 18,124,176,384,070 and 12,082,784,256,045 is: 18,124,176,384,070

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082,784,256,045 : 18,124,176,384,070 = 12,082,784,256,045 : x
  2. Step 2: Convert to fraction form
    12,082,784,256,045/18,124,176,384,070 = 12,082,784,256,045/x
  3. Step 3: Cross multiply
    12,082,784,256,045x = 18,124,176,384,070 × 12,082,784,256,045
  4. Step 4: Simplify right side
    12,082,784,256,045x = 218,990,513,067,223,589,150,785,536
  5. Step 5: Solve for x
    x = 218,990,513,067,223,589,150,785,536/12,082,784,256,045
  6. Step 6: Final answer
    x = 18,124,176,384,070

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.